Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Capital allocation and tail central moments for the multivariate normal mean-variance mixture distribution

Capital allocation is a procedure used to assess the risk contributions of individual risk components to the total risk of a portfolio. While the conditional tail expectation (CTE)-based capital allocation is arguably the most popular capital allocation method, its inability to reflect important tai

Lab Rats Math 9.5 Rigor 3 ·  January 2, 2026

Infinite-mean models in risk management: Discussions and recent advances

In statistical analysis, many classic results require the assumption that models have finite mean or variance, including the most standard versions of the laws of large numbers and the central limit theorems. Such an assumption may not be completely innocent, and it may not be appropriate for datase

Lab Rats Math 6.5 Rigor 4 ·  August 16, 2024

Optimal insurance design with Lambda-Value-at-Risk

This paper explores optimal insurance solutions based on the Lambda-Value-at-Risk ($Λ\VaR$). If the expected value premium principle is used, our findings confirm that, similar to the VaR model, a truncated stop-loss indemnity is optimal in the $Λ\VaR$ model. We further provide a closed-form express

Lab Rats Math 8.5 Rigor 2.5 ·  August 19, 2024

Stochastic dominance for linear combinations of infinite-mean risks

In this paper, we establish a sufficient condition to compare linear combinations of independent and identically distributed (iid) infinite-mean random variables under usual stochastic order. We introduce a new class of distributions that includes many commonly used heavy-tailed distributions and sh

Lab Rats Math 8.5 Rigor 1.5 ·  May 3, 2025

Risk aggregation and stochastic dominance for a class of heavy-tailed distributions

We introduce a new class of heavy-tailed distributions for which any weighted average of independent and identically distributed random variables is larger than one such random variable in (usual) stochastic order. We show that many commonly used extremely heavy-tailed (i.e., infinite-mean) distribu

Lab Rats Math 8.5 Rigor 1.5 ·  August 27, 2024

Risk exchange under infinite-mean Pareto models

We study the optimal decisions and equilibria of agents who aim to minimize their risks by allocating their positions over extremely heavy-tailed (i.e., infinite-mean) and possibly dependent losses. The loss distributions of our focus are super-Pareto distributions, which include the class of extrem

Lab Rats Math 8.5 Rigor 1.5 ·  March 24, 2024

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